My last dog used to try to push her bed around all the time and got the same thing. The bed was not going to be flipped no matter how hard she tried. Her and our other dog frequently push around the carpets they have in the living room to bunch them up to lay on or something. They use their noses all the time, but since those carpets move they don't get the burn. Maybe try giving your pup a small throw carpet that he can push around.